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Finding the Third Proportional to 12,161 and 16,437

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Solution

The third proportional to 12,161 and 16,437 is: 22,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161 : 16,437 = 16,437 : x
  2. Step 2: Convert to fraction form
    12,161/16,437 = 16,437/x
  3. Step 3: Cross multiply
    12,161x = 16,437 × 16,437
  4. Step 4: Simplify right side
    12,161x = 270,174,969
  5. Step 5: Solve for x
    x = 270,174,969/12,161
  6. Step 6: Final answer
    x = 22,216.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.